Who Cites one one corr?
one_one_corr	Def  A ~~ B == f:(AB), g:(BA). InvFuns(A; B; f; g)
	Thm*  A,B:Type. (A ~~ B)  Prop
inv_funs	Def  InvFuns(A; B; f; g) == g o f = Id & f o g = Id
	Thm*  A,B:Type, f:(AB), g:(BA). InvFuns(A; B; f; g)  Prop
tidentity	Def  Id == Id
	Thm*  A:Type. Id  AA
compose	Def  (f o g)(x) == f(g(x))
	Thm*  A,B,C:Type, f:(BC), g:(AB). f o g  AC
	Thm*  A,B,C:Type, f:(B inj C), g:(A inj B). f o g  A inj C
	Thm*  f:(B onto C), g:(A onto B). f o g  A onto C
identity	Def  Id(x) == x
	Thm*  A:Type. Id  AA

Syntax:

A ~~ B

has structure:

one_one_corr(A; B)

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